Master Solving for all of the solutions for trigonometric equations

The video tutorial explains how to solve trigonometric equations using inverse operations. It covers solving equations involving sine, cosine, and tangent, and emphasizes the importance of the unit circle. The tutorial demonstrates finding all solutions, including coterminal angles, and simplifies solutions for tangent equations. It also addresses solving equations with negative values and when sine equals zero.

What is the primary method used to solve trigonometric equations in this tutorial?

• Elimination method

• Substitution method

• Inverse operations

• Graphical analysis

When using the unit circle, in which quadrants is the sine function positive?

• Second and third

• Third and fourth

• First and fourth

• First and second

What is the angle where sine equals √3/2?

• π/6

• π/2

• π/3

• π/4

What is the purpose of adding coterminal angles when finding all solutions?

• To eliminate extraneous solutions

• To simplify the equation

• To include all possible solutions

• To find the smallest angle

How can the solution for tangent equations be simplified?

• By adding π

• By adding 2π

• By subtracting 2π

• By subtracting π

In which quadrants is the cosine function negative?

• Second and third

• First and fourth

• First and second

• Third and fourth

What is the angle where cosine equals -1/2?

• π/3

• 2π/3

• π/4

• 5π/4

Which angle corresponds to a tangent value of 1?

• π/2

• π/4

• π/3

• π/6

What is the simplified solution for sine of X equals 0?

• X = πN

• X = 2πN

• X = π

• X = 0

What is the tangent of π/6?

• 1/√3

• √3/3

• 1

• √3